Johann Carl Friedrich Gauss was a well-known scientist, astronomer and mathematician from Brunswick, Germany. Born on April 30, 1777 to a father who was a gardener and mason and an illiterate mother. Gauss was sent to the Collegium Carolinium by the Duke of Braunschweig, where he attended from 1792 to 1795. From 1795 to 1798, Carl attended the University of Göttingen. While attending university, he independently rediscovered several important theorems. In 1796, Gauss showed what he was capable of. He was able to show that "any regular polygon, each of whose odd factors is a distinct Fermat prime, can be constructed with only a ruler and a compass", thus adding to the work of Greek mathematicians before him. On March 30, 1796, the German mathematician discovered a construction of the heptadecagon, and the law of quadratic reciprocity on April 8 of the same year. In late May 1796, Carl conjectured the prime number theorem. In July of the same year, he also revealed that any positive integer can be expressed as the sum of at most three triangular numbers. A...